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Conjecture on Brjuno optimality for analytic invariant-curve persistence
Let $(\alpha,\beta)$ be the pair consisting of the base rotation and the prescribed fibered rotation number for an analytic family of fibered holomorphic transformations. Let…
Conjectureopenbrjuno-condition dynamical-systems invariant-curvesarXiv posted 2 days ago
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Conjecture on the optimality of the Brjuno condition for invariant curves
Let $\alpha$ be the irrational rotation on the base and let the fibered rotation number be prescribed. Let $\mathbb{B}_1$ denote the Brjuno-type arithmetic condition imposed on the…
Conjectureopenbrjuno-condition dynamical-systems invariant-curvesarXiv posted 2 days ago

Conjecture on Brjuno optimality for analytic invariant-curve persistence